Enumerative Galois theory for number fields
Number Theory
2026-04-06 v2
Abstract
Counting number fields with prescribed Galois group is an enduring challenge in arithmetic statistics. Using the determinant method, we provide an upper bound for even groups, which is new in some cases.
Keywords
Cite
@article{arxiv.2304.11991,
title = {Enumerative Galois theory for number fields},
author = {Sam Chow and Rainer Dietmann},
journal= {arXiv preprint arXiv:2304.11991},
year = {2026}
}
Comments
Mathematika (special Wooley issue), to appear, 20 pages